What is the 8799th prime number?
The 8799th prime number is 90971. The next prime is 90977 (a gap of 6) and the one before is 90947.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 8799th one is 90971.
- 2
90971 is prime because no prime up to ā90971 ā 301.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8799th prime is close to 8799 Ć ln(8799) ā 79916, and here it is 90971.
- 4
90971 has no twin: neither 90969 nor 90973 is prime.
Primes around the 8799th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8796 | 90917 | 6 |
| 8797 | 90931 | 14 |
| 8798 | 90947 | 16 |
| 8799 | 90971 | 24 |
| 8800 | 90977 | 6 |
| 8801 | 90989 | 12 |
| 8802 | 90997 | 8 |
Questions
What is the 8799th prime number?
90971.
Which prime number is 90971?
90971 is the 8799th prime number.
What is the sum of the first 8799 primes?
378,706,134.